Module 7 Transformations
Teacher Guide Lesson Resources Lesson Plans Exam Questions Probing Questions

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F

S3.1

1

Recognise reflective symmetry in 2-D shapes. Classify 3-D and 2-D shapes in various ways using mathematical properties such as reflective symmetry for 2-D shapes

 

 

 

2D and 3D Shapes

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3D Shapes

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F

S3.3

2

Recognise shapes in different orientations and reflect shapes, presented on a grid, in a vertical or horizontal mirror line

 

 

 

Symmetry

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Lines of Symmetry

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Congruent Shapes

 

 

 

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F

S4.1

3

Understand and use positive integer scale factors for enlargements on a grid and be able to tessellate shapes

 

 

 

 

 

 

 

 

 

 

F

S4.8

4

Understand that reflections are specified by a mirror line; transform triangles and other 2-D shapes by reflection, using a line parallel to an axis.Translate shapes horizontally or vertically.

 

 

 

Reflecting Shapes

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Translating Shapes

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F

S5.6

5

Recognise and visualise rotation symmetry of 2-D shapes; identify the order of rotation symmetry. Complete the rotation symmetry of 2-D shapes

 

 

 

Rotation Symmetry

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F

S5.7

6

Understand that rotations are specified by a centre and an angle; ; measure the angle of rotation using right angles and simple fractions of a turn. Reflect in 45 degree lines

 

 

 

Rotating Shapes

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F

S6.8

7

Recognise, visualise and construct enlargements of objects using positive, negative integer and fractional scale factors; identify the centre and the scale factor of enlargement; understand the implications of enlargement for perimeter.

 

 

 

Enlarging Shapes

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Enlargements Including Negative SF

 

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F

S6.9

8

Transform triangles and other 2-D shapes by rotation or reflection or translation using vectors; recognise and visualise rotations, reflections and translations including reflection symmetry of 3-D shapes; understand the properties preserved by these transformations; understand congruence in the context of transformations.

 

 

 

All Transformations

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H (New F)

SA.7

9

Understand and use vector notation; calculate, and represent graphically the sum of two vectors, the difference of two vectors and a scalar multiple of a vector; calculate the resultant of two vectors; understand and use the commutative and associative properties of vector addition. Solve simple geometrical problems in 2-D using vector methods.

 

 

 

Vectors

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H

SB.2

10

Transform triangles and other 2-D shapes by combinations of reflection, rotation (of any angle about any point) and translation, including the use of vector notation; construct enlargements using any scale factors; identify scale factors.

 

 

 

 

 

 

 

 

 

 

H

AZ.4

11

Apply to the graph of y = f(x) the transformations y = f(x) + a, y = f(ax),  y = f(x + a), y = af(x), for linear, quadratic, sine and cosine functions f(x).

 

 

 

Transformation of Graphs (Functions)

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Lesson 2

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Transforming Trig Graphs

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